If Jape works 42 hours in a week, calculate the following:

1. The number of hours he works each day:
[tex]\[ \frac{42 \text{ hours}}{7 \text{ days}} = 6 \text{ hours/day} \][/tex]

2. The number of hours in a week he is not working:
[tex]\[ 168 \text{ hours/week} - 42 \text{ hours/week} = 126 \text{ hours/week} \][/tex]



Answer :

Alright, let's solve the problem step-by-step and address the questions with the correct numerical values.

### Part 1: Calculating the number of hours Jape works each day.

Given:
- Jape works 42 hours in a week
- There are 7 days in a week

To find the number of hours Jape works per day, we divide the total hours he works in a week (42 hours) by the number of days in a week (7 days):

[tex]\[ \text{hours per day} = \frac{\text{total hours in a week}}{\text{number of days in a week}} = \frac{42 \text{ hours}}{7 \text{ days}} = 6 \text{ hours/day} \][/tex]

So, Jape works 6 hours each day.

### Part 2: Calculating the number of hours in a week Jape is not working.

Given:
- A week has 7 days
- Each day has 24 hours

First, find the total number of hours in a week:

[tex]\[ \text{total hours in a week} = 7 \text{ days/week} \times 24 \text{ hours/day} = 168 \text{ hours/week} \][/tex]

Now we know that Jape works 42 hours a week. To find the number of hours he is not working, subtract his working hours from the total hours in a week:

[tex]\[ \text{hours not working} = \text{total hours in a week} - \text{hours worked in a week} = 168 \text{ hours} - 42 \text{ hours} = 126 \text{ hours} \][/tex]

Hence, Jape is not working for 126 hours a week.

### Conclusion

- Jape works 6 hours each day.
- Jape is not working for 126 hours in a week.